Number Theory Seminar

Charlotte Chan, Department of Mathematics, University of Michigan, Ann Arbor

The seminal work of Deligne and Lusztig on the representations of finite reductive groups has influenced an industry studying parallel constructions in the same theme. In 1979, Lusztig proposed a conjectural analogue of Deligne–Lusztig theory for p-adic groups. In this talk, we will discuss new cohomological techniques that allow one to make progress in Lusztig's program by studying similar constructions for unipotent groups.